Given a triangle ABC in which A = (4, -4) B = (0,5) and C = (5, 10). A point P lies on BC such that BP : PC = 3 : 2. Find the length of line segment AP.

If A=(2, -3, 7), B = (-1, 4, -5) and P is a point on the line AB such that AP : BP = 3 : 2 then P has the coordinates

A(1, 4) and B (4, 8) are two points. P is a point on AB such that AP=AB+BP . If AP=10 , find the coordinates of P .

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

Find the orthocentre of Delta ABC if A-= (0, 0), B -= (3, 5) and C -= (4, 7) .

Triangle ABC is right angle at A. The points P and Q are on hypotenuse BC such that BP = PQ = QC .if AP = 3 and AQ = 4 , then length BC is equal to

If A=(2,3), B=(-2-5), C=(-4,6) and if P is a point on BC such that AP bisects the angle A, then find P.

Points A(7, -4), B(-5, 5) and C(-3, 8) are vertices of triangle ABC, Find the length of its median through vertex A.

A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC. Find : the slope of the line parallel to AC.

Construct a triangle ABC given that : BC = 4 . 5 cm, AB = 5 . 2 cm and CA = 3 . 8 cm

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.